# MTH101 Computer Aided Mathematics 1 with Applications (8)

This subject provides an introduction to calculus and linear algebra, with an emphasis on understanding and applications addressed in geometry, physics, economics and environmental modelling. A symbolic algebra package, Maple, is used to assist with computation. Every topic will be presented geometrically, numerically and algebraically. Formal definitions will be based on investigation and practical problems.

## Availability

Session 1 (30)
On Campus
Bathurst Campus
Wagga Wagga Campus
Online
Wagga Wagga Campus
Session 2 (60)
Online
Wagga Wagga Campus

Continuing students should consult the SAL for current offering details: MTH101. Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.

## Subject Information

HD/FL

One session

##### School

School of Computing and Mathematics

##### Assumed Knowledge

It is assumed that students have completed the equivalent of HSC Mathematics Advanced (formerly known as 2-Unit Mathematics).

Students who have not completed HSC Mathematics Advanced or an equivalent subject in their state or country are advised to complete MTH105 Introductory Mathematics before attempting MTH101.

It is important to note that HSC Mathematics General, Mathematics Standard, Maths in Society and other subjects at a similar level that do not include calculus are not sufficient preparation for MTH101.

HSC Mathematics Advanced includes the following topics:

Working with Functions
Trigonometry and Measure of Angles
Trigonometric Functions and Identities
Introduction to Differentiation
Logarithms and Exponentials
Probability and Discrete Probability Distributions
Graphing Techniques
Trigonometric Functions and Graphs
Differential Calculus
The Second Derivative
Integral Calculus
Modelling Financial Situations
Descriptive Statistics and Bivariate Data Analysis
Random Variables

## Learning Outcomes

##### Upon successful completion of this subject, students should:
• be able to graph and solve equations involving the most common functions including algebraic, exponential, logarithmic and trigonometric functions;
• be able to calculate limits;
• be able to differentiate simple functions, including implicit functions;
• be able to use derivatives in applications, including rates of change, graphing, optimisation and approximation;
• be able to integrate simple functions, analytically and numerically;
• be able to use integrals in applications, including area, volume, arclength and average;
• be able to describe the connections between a function, its derivative and its integral;
• be able to solve systems of linear equations;
• be able to perform addition, subtraction, scalar multiplication, matrix multiplication, transposition and inversion of matrices;
• be able to calculate a determinant of a matrix;
• be able to calculate eigenvalues and eigenvectors of a matrix;
• be able to use differentiation, integration and linear algebra to solve a wide range of applied problems; and
• be able to use Maple to help solve mathematical problems.

## Syllabus

##### This subject will cover the following topics:
• Functions and graphs;
• Limits and continuity;
• The derivative;
• Derivative rules;
• Applications of the derivative;
• The definite integral;
• Integration rules;
• Numerical methods of integration;
• Applications of the integration;
• Solving systems of linear equations;
• Matrices, determinants and eigenvalues.

#### Indicative Assessment

The following table summarises the assessment tasks for the online offering of MTH101 in Session 1 2019. Please note this is a guide only. Assessment tasks are regularly updated and can also differ to suit the mode of study (online or on campus).

Item Number
Title
Value %
1
Compulsory diagnostic test
0
2
Functions, limits and derivatives
5
3
Functions and differentiation
10
4
Integration and gaussian elimination
10
5
Linear algebra
5
6
Final exam
70

The information contained in the CSU Handbook was accurate at the date of publication: July 2020. The University reserves the right to vary the information at any time without notice.

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